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 A143132 Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...]. 0
 1, 6, 26, 96, 321, 876, 2006, 4026, 7321, 12346, 19626, 29756, 43401, 61296, 84246, 113126, 148881, 192526, 245146, 307896, 382001, 468756, 569526, 685746, 818921, 970626, 1142506, 1336276, 1553721, 1796696, 2067126, 2367006, 2698401, 3063446 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Conjecture: rightmost digit of terms is cyclic: (1, 6, 6, 6, ... repeat). LINKS FORMULA Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0, ...] where (1, 5, 15, 35, 70) = row 4 of triangle A046899. From R. J. Mathar, Jul 31 2008: (Start) O.g.f.: (1 + x + 6x^2 + 16x^3 + 46x^4)/(1-x)^5. a(n) = 46 - 200*n + 330*A000217(n) - 245*A000292(n) + 70*A000332(n+3). (End) a(n) = (552 - 1190*n + 895*n^2 - 280*n^3 + 35*n^4)/12. - T. D. Noe, Aug 22 2008 EXAMPLE a(4) = 96 = (1, 3, 3, 1) dot (1, 5, 15, 35) = (1 + 15 + 45 + 35). CROSSREFS Cf. A046899. Sequence in context: A036645 A000393 A106392 * A055589 A318947 A320816 Adjacent sequences: A143129 A143130 A143131 * A143133 A143134 A143135 KEYWORD nonn AUTHOR Gary W. Adamson, Jul 27 2008 EXTENSIONS More terms from T. D. Noe, Aug 22 2008 STATUS approved

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Last modified November 28 10:39 EST 2022. Contains 358411 sequences. (Running on oeis4.)